An edition of An Introduction to Nonlinearity in Control Systems
(2013)
An Introduction to Nonlinearity in Control Systems
by Derek Atherton
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Last edited by Alice Kirk
December 1, 2015 | History
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Publish Date
2013
Publisher
Bookboon.com
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Book Details
Table of Contents
Innhold
Introduction
What is nonlinearity?
Forms of nonlinearity
Structure and Behaviour
Overview of contents
References
The Phase Plane Method
Introduction
Basic Principles
The Phase Plane for Systems with Linear Segmented Nonlinearities
Conclusions
References
Bibliography
The Describing Function
Introduction
The Sinusoidal Describing Function
Some Properties of the DF
The Evaluation of some DFs
Nonlinear Models and DFs
Harmonic Outputs
Sine plus Bias DF and the IDF
Conclusions
References
Bibliography
Appendix -Tables of Describing Functions
Stability and Limit Cycles using th e DF
Introduction
Limit Cycle Evaluation
Stability of a Predicted Limit Cycle
DF Accuracy
Some Examples of Limit Cycle Evaluation
More than one Nonlinear Element
Applications of SBOF to find Limit Cycles
Conclusions
Bibliography
The SSDF and Harmonically Forced Systems
Introduction
The Cubic Nonlinearity with Two Sinusoidal Inputs
Modified Nonllnearltles and the SSDF
The IDF for Related Signals
More Accurate Determination of Limit Cycles
Closed Loop Frequency Response
Jump Resonance
Conclusions
References
Limit cycles in relay systems
Introduction
The Frequency Domain Approach
Properties and Evaluation of A loci
Solving for Limit Cycles
Limit Cycle Stability
Some Interesting Limit Cycle Problems
Forced oscillations
Conclusions
References
Appendix
Controlle r Tuning from Relay Produ ced Limit Cycles
Introduction
Knowledge from the Limit Cycle
Tuning the Controller
Autotuning using the Relay in Parallel with the Controller
Conclusions
References
Absolute Stability Results
Introduction
Lyapunov's Method
Application of Lyapunov's Method
Definitions and Loop Transformations
Frequency Domain Criteria
Examples
Conclusions
References
Bibliography
Design of Nonlinear Control Systems
Introduction
Linearization
Frequency Response Shaping
Nonlinear Compensation
Compensation using DF Models
Time Optimal Control
Sliding Mode Control
Fuzzy Logic
Neural Networks
Exact Linearization
General Comments
References
ID Numbers
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| December 1, 2015 | Edited by Alice Kirk | Edited without comment. |
| December 1, 2015 | Created by Alice Kirk | Added new book. |